11121999966 has 192 divisors, whose sum is σ = 31273482240. Its totient is φ = 2772947520.

The previous prime is 11121999919. The next prime is 11121999971. The reversal of 11121999966 is 66999912111.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3514701 + ... + 3517863.

It is an arithmetic number, because the mean of its divisors is an integer number (162882720).

Almost surely, 2^11121999966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121999966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636741120).

11121999966 is an abundant number, since it is smaller than the sum of its proper divisors (20151482274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121999966 is a wasteful number, since it uses less digits than its factorization.

11121999966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3288 counting only the distinct ones).

The product of its digits is 472392, while the sum is 54.

The spelling of 11121999966 in words is "eleven billion, one hundred twenty-one million, nine hundred ninety-nine thousand, nine hundred sixty-six".